quaternion (redirected fromQuaternion conjugate) Thesaurus Encyclopedia Related to Quaternion conjugate:Hamilton quaternions qua·ter·ni·on (kwə-tûr′nē-ən) n. 1.A set of four persons or items. 2.MathematicsAny number of the forma+bi+cj+dkwherea, b, c,anddare real numbers,ij=k,...
The situation is different for quaternions. The conjugate of a quaternion is Youcanflip four dimensional space over by a series of dilations, rotations, and translations. Namely To prove this equation, let’s first see what happens when you multiplyqon both sides byi: That is, the effect o...
quaternion quaternion(kwətûrˈnēən), in mathematics, a type of higher complex number first suggested by Sir William R. Hamilton in 1843. A complex number is a number of the forma+biwhenaandbare real numbers andiis the so-called imaginary unit defined by the equationi2=−1. ...
The quaternion conjugate has the form of q′=q0−iq1−jq2−kq3. References [1] Stevens, Brian L., Frank L. Lewis.Aircraft Control and Simulation, Second Edition. Hoboken, NJ: Wiley–Interscience. Extended Capabilities C/C++ Code Generation ...
nounMathematics & PhysicsAny of a set of numbers that satisfy the same irreducible polynomial. nounChemistryA chemical compound that has been formed by the joining of two or more compounds. from The Century Dictionary. To join together; specifically, to join in marriage; unite by marriage. ...
R.ingentaconnectApplied Mathematics & Computation ElsevierA.-G. Wu, W. Liu, C. Li, G.-R. Duan, On j-conjugate product of quaternion polynomial matrices, Appl. Math. Comput. 219 (2013) 11223-11232.A.G.Wu, W.Liu, C.Li and G.R.Duan, On j-conjugate product of quaternion polynomial...
(Optics) two mirrors so placed that rays from the focus of one are received at the focus of the other, especially two concave mirrors so placed that rays proceeding from the principal focus of one and reflected in a parallel beam are received upon the other and brought to the principal ...
Several Inequalitics of Self-Conjugate Quaternion Matrices 来自 知网 喜欢 0 阅读量: 17 作者: Z Yang 摘要: Let SC. (Q) denote the set of all n×n self-conjugate quaternions matrices. Suppose that λ (A) (s=1, 2. …, n) are eigenvalues for A∈SC, (Q), where λ_1(A)≥...
lang=EN-USthe /spanspan style=font-size: 10pt; lang=EN-USinequalityspan style=mso-bidi-font-weight: bold; above, we obtain several /spaninequalitiesspan style=mso-bidi-font-weight: bold; for the trace of quaternion/span positive definite matrixspan style=mso-bidi-font-weight: bold;./span...
As Miller points out the structure of a Sylow subgroup is very limited under this hypothesis, in particular a Sylow 2-subgroup is either cyclic, elementary abelian or a quaternion group of order 8. The authors consider the structure of non-soluble groups and provide detailed theorems in both ...